Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density

doi:10.1016/j.jfa.2019.108394

CSpace

	Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density
	Farwig, Reinhard 1; Qian, Chenyin 2; Zhang, Ping 3,4,5
	2020-03-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	278 期号:5 页码:36
摘要	In this paper, we study the incompressible inhomogeneous Navier-Stokes equations in bounded domains of R-3 involving bounded density functions rho = 1 + a. Based on the corresponding theory of Besov spaces on domains, we first obtain the global existence of weak solutions (rho, u) with initial data a(0) is an element of L-infinity(Omega), u(0) is an element of B-q, s(-1+3/q) (Omega) for 1 < q < 3, 1 < s < infinity. Furthermore, with additional regularity assumptions on the initial velocity, we also prove the uniqueness of such a solution. It is a generalization of a result established by Huang et al. (2013) [20] for the whole space R-3. (C) 2019 Elsevier Inc. All rights reserved.
关键词	Incompressible inhomogeneous fluid Bounded domain Bounded density Existence and uniqueness
DOI	10.1016/j.jfa.2019.108394
收录类别	SCI
语种	英语
资助项目	NSF of China[11371347] ; NSF of China[11688101] ; Morningside Center of Mathematics of the Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000508760700006
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50565
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Ping
作者单位	1.Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany 2.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Farwig, Reinhard,Qian, Chenyin,Zhang, Ping. Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2020,278(5):36.
APA	Farwig, Reinhard,Qian, Chenyin,&Zhang, Ping.(2020).Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density.JOURNAL OF FUNCTIONAL ANALYSIS,278(5),36.
MLA	Farwig, Reinhard,et al."Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density".JOURNAL OF FUNCTIONAL ANALYSIS 278.5(2020):36.